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Finding the Fourth Proportional to 1,745.70, 2,409.19 and 999.69

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Solution

The fourth proportional to 1,745.70, 2,409.19 and 999.69 is: 1,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.70 : 2,409.19 = 999.69 : x
  2. Step 2: Convert to fraction form
    1,745.70/2,409.19 = 999.69/x
  3. Step 3: Cross multiply
    1,745.70x = 2,409.19 × 999.69
  4. Step 4: Simplify right side
    1,745.70x = 2,408,450.79
  5. Step 5: Solve for x
    x = 2,408,450.79/1,745.70
  6. Step 6: Final answer
    x = 1,379.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.